404171142144 has 1056 divisors, whose sum is σ = 1491997708800. Its totient is φ = 95808061440.

The previous prime is 404171142131. The next prime is 404171142161. The reversal of 404171142144 is 441241171404.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 912349987 + ... + 912350429.

Almost surely, 2^404171142144 is an apocalyptic number.

404171142144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404171142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745998854400).

404171142144 is an abundant number, since it is smaller than the sum of its proper divisors (1087826566656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404171142144 is a wasteful number, since it uses less digits than its factorization.

404171142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 404171142144 in words is "four hundred four billion, one hundred seventy-one million, one hundred forty-two thousand, one hundred forty-four".